Becoming confident and competent as a problem solver is a complex process that requires a range of skills and experience. Try with different numbers of squares around the ring. Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land. Can you work out how many flowers there will be on the Amazing Splitting Plant after it has been growing for six weeks? What do you notice about these squares of numbers? See if you can find other answers? Can you create your own repeating pattern?

Domino Sorting Age 5 to 7 Challenge Level: KS1 Age 5 to 7 Challenge Level: Triple Cubes Age 5 to 11 Challenge Level: How many circles would I need to make the next size up for each? This project challenges you to work out the number of cubes hidden under a cloth. How many creatures did he see?

What’s the point of doing maths? Can you put these times on the clocks in order? Can you create your own repeating pattern? Half Time Age 5 to 11 Challenge Level: Create a pattern on the left-hand grid. Magic Plant Age 5 to 7 Problme Level: What Could It Be? Try with different numbers of squares around the ring.


How could you sort the cards? Here are some short problems for you to try.

Problem Solving :

Ram divided 15 pennies among four small bags. Register for our mailing list.

nrich problem solving y2

What happens when you add pairs of the numbers together? Ben has five coins in his pocket. Who said that adding couldn’t be fun? Can you work out where their counters will land?

Problem Solving

What do you notice? It’s Sahila’s birthday and she is having a party. Chairs and Tables Age 5 to 7 Challenge Level: These upper primary tasks all specifically draw on the use of visualising.

To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing xolving embed rich mathematical tasks into everyday classroom practice. Age 7 to 11 Trial and Improvement at KS2 These upper primary tasks could all be tackled using a trial and improvement approach.

nrich problem solving y2

Are these statements relating to odd and even numbers always true, sometimes true or never true? Digit Addition Age 5 solvlng 11 Challenge Level: How many faces can you see when you arrange these three cubes in different ways?


Frances and Rishi were given a bag of lollies. The sum of each side of the triangle should equal the number in its centre.

Because the whole point of learning maths is to be able to solve problems. In this article, Jennie suggests that sllving can support this process in three principal ways. Number Balance Age 5 to 7 Challenge Level: Age 5 to 11 Challenge Level: The Voting Station Age 3 to 5 Counting and comparing. First they were counting in twos. Read Lynne’s article which discusses the place of problem solving in the new curriculum and sets the scene.

In how many different ways can you break up a stick of 7 interlocking cubes?

nrich problem solving y2